Constraint Based Geometry

Circles Geometry Expressions is a constraint based geometry system. The benefits of this type of system are:


  • Many geometric configurations are much more easily specified using constraints than constructions
  • It is a much more convenient style for expressing real world problems
  • This is the approach used in modern Computer Aided Design (CAD) systems

Symbolic Geometry

Circles In Geometry Expressions if you put symbols in as the values of constraints, you get symbolic expressions out for measurements (see above figure). This means:
  • Reinforcing multiple representations (geometric and algebraic) of the same problem
  • Symbiosis with CAS (like Maple, Mathematica, Nspire, ClassPad Manager)
  • Makes the geometry software extremely relevant in algebra, precalculus and calculus courses, as well as in university and professional engineering contexts.

I am very impressed with Geometry Expressions: dynamic construction and visualization combined with symbolic analysis, all in an easy-to-use graphical user interface. I believe this is precisely the type of intuitive computing that would be well-received by students and a real aid to their understanding of many mathematical topics. ”

Prof Douglas Meade
Department of Mathematics
University of South Carolina, USA

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